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  • 1
    Electronic Resource
    Electronic Resource
    From ballistic motion to localization: a phase space analysis (2002)
    Springer
    The European physical journal 27 (2002), S. 11-14 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 05.60.Gg Quantum transport – 71.23.An Theories and models; localized states – 05.45.Pq Numerical simulations of chaotic models
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We introduce phase space concepts to describe quantum states in a disordered system. The merits of an inverse participation ratio defined on the basis of the Husimi function are demonstrated by a numerical study of the Anderson model in one, two, and three dimensions. Contrary to the inverse participation ratios in real and momentum space, the corresponding phase space quantity allows for a distinction between the ballistic, diffusive, and localized regimes on a unique footing and provides valuable insight into the structure of the eigenstates.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e20020125
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Delocalization and Heisenberg's uncertainty relation (2002)
    Springer
    The European physical journal 30 (2002), S. 175-179 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 05.60.Gg Quantum transport – 71.23.An Theories and models; localized states
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: In the one-dimensional Anderson model the eigenstates are localized for arbitrarily small amounts of disorder. In contrast, the Aubry-André model with its quasiperiodic potential shows a transition from extended to localized states. The difference between the two models becomes particularly apparent in phase space where Heisenberg's uncertainty relation imposes a finite resolution. Our analysis points to the relevance of the coupling between momentum eigenstates at weak potential strength for the delocalization of a quantum particle.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e2002-00372-9
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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